381531150 has 432 divisors, whose sum is σ = 1412440848. Its totient is φ = 73180800.

The previous prime is 381531091. The next prime is 381531169. The reversal of 381531150 is 51135183.

381531150 is a `hidden beast` number, since 3 + 81 + 531 + 1 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 29348544 + ... + 29348556.

It is an arithmetic number, because the mean of its divisors is an integer number (3269539).

Almost surely, 2^381531150 is an apocalyptic number.

381531150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381531150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706220424).

381531150 is an abundant number, since it is smaller than the sum of its proper divisors (1030909698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381531150 is a wasteful number, since it uses less digits than its factorization.

381531150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 381531150 is about 19532.8223767074. The cubic root of 381531150 is about 725.2871791360.

The spelling of 381531150 in words is "three hundred eighty-one million, five hundred thirty-one thousand, one hundred fifty".